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Finding the Third Proportional to 10,307,148.75 and 15,944,976.56

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Solution

The third proportional to 10,307,148.75 and 15,944,976.56 is: 24,666,596.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307,148.75 : 15,944,976.56 = 15,944,976.56 : x
  2. Step 2: Convert to fraction form
    10,307,148.75/15,944,976.56 = 15,944,976.56/x
  3. Step 3: Cross multiply
    10,307,148.75x = 15,944,976.56 × 15,944,976.56
  4. Step 4: Simplify right side
    10,307,148.75x = 254,242,277,578,674.31
  5. Step 5: Solve for x
    x = 254,242,277,578,674.31/10,307,148.75
  6. Step 6: Final answer
    x = 24,666,596.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.